Characterizations for the cross-migrativity between overlap functions and commutative aggregation functions.

Previous years, people deeply discussed the cross-migrativity properties of the same binary operators, like two overlap functions. Based on the previous works, we extend the study of the cross-migrativity about two same operators to different operators (i.e., a commutative aggregation function C A and overlap function F). At first, we present a idea respecting cross-migrativity about commutative aggregation functions with overlap operators. Besides, we obtain some equivalent characterizations of C A is cross-migrative over F M and F w , respectively. Moreover, by the aid of ordinal sum about C A , some related properties on the cross-migrativity equations between C A and F M and F 1 are discussed, respectively. [ABSTRACT FROM AUTHOR]